On the construction of t-norms (t-conorms) by using interior (closure) operator on bounded lattices

Title:

On the construction of t-norms (t-conorms) by using interior (closure) operator on bounded lattices

Creator:

Aşıcı, Emel

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:1cd82b53-efdb-4884-a0af-ccf5df3a69c4
uuid:1cd82b53-efdb-4884-a0af-ccf5df3a69c4
doi:10.14736/kyb-2022-3-0456

Subject:

t-norm, t-conorm, ordinal sum, and bounded lattice

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

Recently, the topic of construction methods for triangular norms (triangular conorms), uninorms, nullnorms, etc. has been studied widely. In this paper, we propose construction methods for triangular norms (t-norms) and triangular conorms (t-conorms) on bounded lattices by using interior and closure operators, respectively. Thus, we obtain some proposed methods given by Ertuğrul, Karaçal, Mesiar [15] and Çaylı [8] as results. Also, we give some illustrative examples. Finally, we conclude that the introduced construction methods can not be generalized by induction to a modified ordinal sum for t-norms and t-conorms on bounded lattices.

Language:

English

Rights:

http://creativecommons.org/licenses/by-nc-sa/4.0/
policy:public

Coverage:

456-478

Source:

Kybernetika | 2022 Volume:58 | Number:3

Harvested from:

CDK

Metadata only:

false